The exclusivity of the project to any specific organization is against the most basic ideas of the project and should be refuted promptly. Practically that is impossible, that’s like saying strategic games should be exclusive to a specific company.
The other issue is that the world doesn’t operate based on Mr Putin’s speeches. There are other factors in play that, even if Putin doesn’t like it, should be considered. It’s impossible to divide the world based on geographical locations. Governing mechanisms are the deciding factors. It’s not hard to predict that the world will be divided into democratic and authoritarian segments (not West and non-west as Putin suggests). BRICS, therefore, is not a coherent block. Will Brazil and India and South Africa choose the same governance model as China and Russia? Of course, Brazil might elect someone like Bolsonaro again in the future, in the same way, the US might reelect someone like Trump once again. For Putin’s dream to come true, he should target democracy because inevitably people in democratic countries will come closer together. That is the inevitable result of social involvement. Social involvement cannot be limited to one place. Once it is allowed, like-minded people around the world will reinforce one another, defending shared values which is the freedom of expressing oneself and the ability to make a change.